Name
Title | ||
|---|---|---|
Perturbation analysis for the reduced minimum modulus of bounded linear operator in Banach spaces |
Abstract | ||
|---|---|---|
Let X and Y be two Banach spaces over the complex field C and let T:X->Y be a bounded linear operator with the generalized inverse T^+. Let [email protected] be a bounded linear operator with @__ __T^[email protected]__ [email protected]__ [email protected]@__ __<1/2. Let @c(T) denote the reduced minimum modulus of T. We first establish the upper semi-continuity theorem for @c(T). Furthermore, if dimKerT=dimKerT |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1016/S0096-3003(02)00434-4 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Generalized inverse,Reduced minimum modulus,Stable perturbation of operators | Hilbert space,Discrete mathematics,Linear algebra,Mathematical optimization,Bounded operator,Mathematical analysis,Banach space,Compact operator,Operator norm,Linear map,Bounded inverse theorem,Mathematics | Journal |
Volume | Issue | ISSN |
145 | 1 | Applied Mathematics and Computation |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chao Zhu | 1 | 126 | 23.97 |
| Jing Cai | 2 | 0 | 0.34 |
| Guo-Liang Chen | 3 | 106 | 17.84 |